Finding the Fourth Proportional to 231,204,171.06, 347,102,209.02 and 198,623,184.26
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Solution
The fourth proportional to 231,204,171.06, 347,102,209.02 and 198,623,184.26 is: 298,189,023.59
Step by Step Solution
- Step 1: Write the proportion equation
231,204,171.06 : 347,102,209.02 = 198,623,184.26 : x - Step 2: Convert to fraction form
231,204,171.06/347,102,209.02 = 198,623,184.26/x - Step 3: Cross multiply
231,204,171.06x = 347,102,209.02 × 198,623,184.26 - Step 4: Simplify right side
231,204,171.06x = 68,942,546,017,496,976 - Step 5: Solve for x
x = 68,942,546,017,496,976/231,204,171.06 - Step 6: Final answer
x = 298,189,023.59
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.